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Finding the Fourth Proportional to 854.84, 1,179.65 and 500.78

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Solution

The fourth proportional to 854.84, 1,179.65 and 500.78 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.84 : 1,179.65 = 500.78 : x
  2. Step 2: Convert to fraction form
    854.84/1,179.65 = 500.78/x
  3. Step 3: Cross multiply
    854.84x = 1,179.65 × 500.78
  4. Step 4: Simplify right side
    854.84x = 590,736.72
  5. Step 5: Solve for x
    x = 590,736.72/854.84
  6. Step 6: Final answer
    x = 691.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.